Studying Radiative Baryon Decays with the SU(3) Flavor Symmetry

Abstract

The weak and electromagnetic radiative baryon decays of octet $T_8$, decuplet $T_{10}$, single charmed anti-triplet $T_{c3}$ and sextet $T_{c6}$, single heavy bottomed anti-triplet $T_{b3}$ and sextet $T_{b6}$ are investigated by using SU(3) flavor symmetry irreducible representation approach. We analyze the contributions from a single quark transition $q_1\to q_2\gamma$ and $W$ exchange transitions, and find that the amplitudes could be easily related by SU(3) flavor symmetry in the $T_{b3,b6}$ weak radiative decays, $T_{c3,c6}$ weak radiative decays, $T_{10}\to T_8\gamma$ weak decays, $T_{10}\to T_{10}^{\prime }\gamma$ weak decays and $T_{10}\to T_8\gamma$ electromagnetic decays. Nevertheless, the amplitude relations are a little complex in the $T_8\to T_8^{\prime }\gamma$ and $T_8\to T_{10}\gamma$ weak decays due to quark antisymmetry in $T_8$ and $W$ exchange contributions. Predictions for branching ratios of ${\Lambda }_b^0\to n\gamma$, ${\Xi }_b^{-}\to {\Xi }^{-}\gamma$, ${\Xi }_b^{-}\to {\Sigma }^{-}\gamma$, ${\Xi }_b^0\to {\Sigma }^0\gamma$, ${\Xi }_b^0\to {\Lambda }^0\gamma$, ${\Xi }_b^0\to {\Xi }^0\gamma$, ${\Xi }^{\ast }\to \Xi \gamma$, ${\Sigma }^{\ast 0}\to {\Sigma }^0\gamma$, ${\Delta }^0\to n\gamma$ and ${\Delta }^{+}\to p\gamma$ are given. The results in this work can be used to test SU(3) flavor symmetry approach in the radiative baryon decays by the future experiments at BESIII, LHCb and Belle-II.

Comments: 17 pages, 2 figures